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Finding the Fourth Proportional to 4,553.78, 6,828.64 and 2,089.40

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Solution

The fourth proportional to 4,553.78, 6,828.64 and 2,089.40 is: 3,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.78 : 6,828.64 = 2,089.40 : x
  2. Step 2: Convert to fraction form
    4,553.78/6,828.64 = 2,089.40/x
  3. Step 3: Cross multiply
    4,553.78x = 6,828.64 × 2,089.40
  4. Step 4: Simplify right side
    4,553.78x = 14,267,721.05
  5. Step 5: Solve for x
    x = 14,267,721.05/4,553.78
  6. Step 6: Final answer
    x = 3,133.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.